Firmino joined Liverpool from Hoffenheim for a fee of around £29 million in the summer.
The new manager of Liverpool Football Club will come into an environment that sees several new players still trying to settle into life on Merseyside - with the club's owners allowing Brendan Rodgers to bring in seven new faces prior to dismissing him after just eight Premier League games.
With Jurgen Klopp the frontrunner for the job, according to various reports in several newspapers - including the Liverpool Echo - some fans are wondering what it means for certain players; including the newer signings.
Firmino arrived with a reputation on the up, as a player who was aggressive, likes to press the game and can play virtually anywhere across the front line. His goalscoring exploits in the Bundesliga meant he was highly rated - scoring a total of 49 goals 153 games is a pretty decent return for a player that isn't an out-and-out forward.
If anything illustrated what Firmino was about, then Klopp probably had a first hand look as he helped to give Dortmund a scare by putting Hoffenheim in front in their DFB Pokal clash - when he pressed the defence for a mistake, came up with the ball and calmly chipped over the onrushing goalkeeper. Pressing, closing down and composure seem to be what he is best at.
So far we haven't seen much of that from him in a Liverpool shirt - but nor can we say we have really seen the best from a lot of the Liverpool players who have taken to the field so far during this campaign.
But the signature of Klopp's Dortmund sides at their best was how busy his attack-minded players were. Whether it was scoring goals, pressing opponents, taking up dangerous positions, everything seemed to happen so quickly.
Prior to a back injury he picked up in the League Cup tie against Carlisle, Firmino looked like a player who was comfortable on the ball and could have a positive influence going forward, but at times found himself isolated - then again, a lot of Liverpool's attacking talent did.
Having come up against him in the past, Klopp will know what a threat the Brazilian can be to opponents, as he has given Dortmund problems, but he will also know how to improve him. The way his sides have tended to be so ruthless going forward and creating chances can be simply breathtaking, and Firmino could be at the centre of those plans at Anfield.